Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59532c |
Isogeny class |
Conductor |
59532 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
308613888 = 28 · 35 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172,-152] |
[a1,a2,a3,a4,a6] |
j |
18272848/9963 |
j-invariant |
L |
1.406467800328 |
L(r)(E,1)/r! |
Ω |
1.4064678010691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59532b1 |
Quadratic twists by: -11 |